Results 81 to 90 of about 1,413 (195)

Numerical solutions of fractional conformable derivative using a generalized Kudryashov method

Science World Journal
This paper addresses the numerical solutions of fractional differential equations (FDEs) using the Generalized Kudryashov Method (GKM) in the context of the conformable fractional derivative. Fractional calculus, particularly the conformable derivative, provides a versatile framework for modeling systems exhibiting memory and hereditary properties ...
Oduselu-Hassan, Oladayo Emmanuel, Ojada, David Oluwatomi   +1 more
openaire   +2 more sources

Dynamical Structure of the Soliton Solution of M‐Fractional (2 + 1)‐Dimensional Heisenberg Ferromagnetic Spin Chain Model Through Advanced exp(−ϕ(ξ))‐Expansion Schemes in Mathematical Physics

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this piece of work, we give the particular traveling wave answers for the truncated time M‐fractional (2 + 1)‐Heisenberg ferromagnetic spin chain model that is researched by executing the advanced exp (−φ(ξ)) expansion technique. In order to reconnoiter such dynamics, the advanced exp(−φ(ξ)) expansion method integrates the truncated time M ...
Sakhawat Hossain, M. M. Rahman, Md. Habibul Bashar, Shimul Biswas, Md Mamunur Roshid, Tudor Barbu   +5 more
wiley   +1 more source

Abundant novel stochastic fractional solitary wave solutions of a new extended (3+1)-dimensional Kadomtsev–Petviashvili equation

Alexandria Engineering Journal
The (3+1)-dimensional Kadomtsev–Petviashvili equation arises in various physical contexts, including fluid mechanics, plasma physics, and nonlinear optics. Exact solutions play a vital role in understanding the physical behavior of a system.
Amjad E. Hamza, Khidir Shaib Mohamed, Alaa Mustafa, Khaled Aldwoah, Mohammed Hassan, Hicham Saber   +5 more
doaj   +1 more source

Exact solitary wave solution for the fractional and classical GEW-Burgers equations: an application of Kudryashov method

Journal of Taibah University for Science, 2018
The fractional partial differential equations have wide applications in science and engineering. In this paper, the Kudryashov techniques were utilized to obtain an exact solution of both fractional generalized equal width (GEW)-Burgers and classical GEW-
R. I. Nuruddeen, Aminu M. Nass
doaj   +1 more source

New Solutions of Breaking Soliton Equation Using Softmax Method

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This study presents the application of a novel Softmax method to obtain exact analytical solutions of the breaking soliton equation, a nonlinear partial differential equation that models complex wave phenomena. By transforming the governing equation into an ordinary differential equation using a traveling wave transformation and constructing a solution
Nguyen Minh Tuan, Phayung Meesad, Nguyen Hong Son, Kannan Krithivasan   +3 more
wiley   +1 more source

Penerapan Algoritma Demina-kudryashov dalam Menentukan Solusi Meromorfik Persamaan Ostrovsky [PDF]

, 2016
Persamaan Ostrovsky merupakan persamaan diferensial parsial nonlinear yang dapat ditemukan dalam fenomena fisis seperti tsunami. Persamaan ini telah memiliki banyak solusi khusus analitik terutama untuk menggambarkan penjalaran gelombang soliton.
Lalus, H. F. (Herry)
core  

Solitary Wave Solutions of the Generalized (3+1)-Dimensional Shallow Water-Like Equation by using modified Kudryashov method

Adıyaman University Journal of Science, 2021
In this study, the generalized (3+1)-dimensional Shallow Water-Like (SWL) equation, which is one of the evolution equations, is taken into consideration. With the help of this evolution equation discussed, the modified Kudryashov method, traveling wave solutions are successfully obtained.
openaire   +3 more sources

Sensitivity and Chaotic Dynamics: A Comparative Study of Optical Solitons for the Zhanbota‐IIA Equation Using Enhanced Analytical Methods

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This work investigates solitary wave solutions and dynamical properties of the integrable Zhanbota‐IIA equation, which exhibits rich nonlinear dynamics and diverse soliton structures. To derive exact traveling wave solutions, two robust analytical frameworks are employed: the new extended direct algebraic method (NEDAM) and the (G′/G2)‐expansion method.
Ghulam Hussain Tipu, Fengping Yao, Abdul Mateen, Loredana Ciurdariu, Dimitri Mugnai   +4 more
wiley   +1 more source

Dynamical Soliton Solutions of (2 + 1)‐Dimensional Paraxial Wave and (4 + 1)‐Dimensional Fokas Wave Equations With Truncated M‐Fractional Derivative Using an Efficient Technique

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The main aim of this paper is to use the modified generalized Kudryashov technique to accurately represent the traveling wave solutions for (2 + 1)‐dimensional paraxial and (4 + 1)‐dimensional Fokas wave equations with truncated M‐fractional derivative. Symbolic computation is utilized to present soliton solutions with different physical properties and
Hasan Bulut, Ulviye Demirbilek, Ercan Çelik, Rehan Ali   +3 more
wiley   +1 more source

APPLICATION OF THE GENERALIZED KUDRYASHOV METHOD TO THE KOLMOGOROV-PETROVSKII-PISKUNOV EQUATION

Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering
In this paper, we investigate the general solutions to the Kolmogorov-Petrovskii-Piskunov equation using the generalized Kudryasov method. It was demonstrated that all produced answers are supplied by exponential function solutions using the symbolic computer program Maple.
Zeynep Aydın, Filiz Taşcan
openaire   +2 more sources